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314852287689 = 3235925212
BaseRepresentation
bin1001001010011101010…
…10001010010011001001
31010002200121010102020100
410211032222022103021
520124304141201224
6400350253120013
731514222200542
oct4451652122311
91102617112210
10314852287689
111115899a9925
125102b489009
13238c8b9a114
141134b8b54c9
1582cb546ac9
hex494ea8a4c9

314852287689 has 27 divisors (see below), whose sum is σ = 456934011079. Its totient is φ = 208915081440.

The previous prime is 314852287661. The next prime is 314852287733. The reversal of 314852287689 is 986782258413.

The square root of 314852287689 is 561117.

It is a perfect power (a square), and thus also a powerful number.

314852287689 is a `hidden beast` number, since 3 + 1 + 48 + 522 + 8 + 7 + 68 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90290033289 + 224562254400 = 300483^2 + 473880^2 .

It is not a de Polignac number, because 314852287689 - 211 = 314852285641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314852287639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 604322749 + ... + 604323269.

Almost surely, 2314852287689 is an apocalyptic number.

314852287689 is the 561117-th square number.

314852287689 is the 280559-th centered octagonal number.

It is an amenable number.

314852287689 is a deficient number, since it is larger than the sum of its proper divisors (142081723390).

314852287689 is an frugal number, since it uses more digits than its factorization.

314852287689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 883 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 314852287689 in words is "three hundred fourteen billion, eight hundred fifty-two million, two hundred eighty-seven thousand, six hundred eighty-nine".

Divisors: 1 3 9 359 521 1077 1563 3231 4689 128881 187039 271441 386643 561117 814323 1159929 1683351 2442969 67147001 97447319 201441003 292341957 604323009 877025871 34983587521 104950762563 314852287689